document.write( "Question 336003: Hi, I have got a question that is to do with calculus but i couldn't find a section covering it above so I put in alegaebra equations, sorry if that was a problem. \r
\n" ); document.write( "\n" ); document.write( "Ok the question I have that i need help with is \"Using an algebraic method, determine the equation of the catenary that you believe best models your necklace\". Baiscally I had to make earlier a parabola by tracing a chain and then find an equation to match that parabola which i had difficulty with. Now later on, on a much harder question it was required for the parabola to be shitfed upwards on the y-axis and the equation to be calculated.\r
\n" ); document.write( "\n" ); document.write( "I have obtained three coordinates that I tried to use but to no avail, they are\r
\n" ); document.write( "\n" ); document.write( "Turning Point (0, 10) and (30,27) and (54,79). If a negative x-vaule would make it easier then those three a coordinate that could also be used is- (-54, 79). Any help would be greatly appreciated. I was attempting to use the formula y=ax^2+bx+c, as this formula is what is needed to be solved, that a-value, b-value and c-value.
\n" ); document.write( "Any help would be greatly appreciated.
\n" ); document.write( "Thank you
\n" ); document.write( "Keiran \n" ); document.write( "

Algebra.Com's Answer #241015 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Substitute  (0, 10), (30,27) and (54,79) into \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "and get \r\n" );
document.write( "\r\n" );
document.write( "So now the equation is:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substitute the second point  (54,79):\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substitute the third point  (30,27):\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve this system of equations:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve that by Cramer's rule:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the equation \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "is now\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );